Fractal scattering of Gaussian solitons in directional couplers with logarithmic nonlinearities
Abstract
In this paper we study the interaction of Gaussian solitons in a dispersive and nonlinear media with log-law nonlinearity. The model is described by the coupled logarithmic nonlinear Schrödinger equations, which is a nonintegrable system that allows the observation of a very rich scenario in the collision patterns. By employing a variational approach and direct numerical simulations, we observe a fractal-scattering phenomenon from the exit velocities of each soliton as a function of the input velocities. Furthermore, we introduce a linearization model to identify the position of the reflection/transmission window that emerges within the chaotic region. This enables us the possibility of controlling the scattering of solitons as well as the lifetime of bound states.
- Publication:
-
Physics Letters A
- Pub Date:
- August 2016
- DOI:
- 10.1016/j.physleta.2016.06.041
- arXiv:
- arXiv:1603.05206
- Bibcode:
- 2016PhLA..380.2738T
- Keywords:
-
- Fractal scattering;
- Gaussian solitons;
- Directional couplers;
- Logarithmic nonlinearities;
- Nonlinear Schrödinger equations;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- 12 pages, 11 figures